Quasilinear elliptic and parabolic Robin problems on Lipschitz domains
DOI10.1007/s00030-012-0201-2zbMath1268.35021arXiv1104.5125OpenAlexW2018288137MaRDI QIDQ354390
Publication date: 19 July 2013
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.5125
Robin boundary conditionsparabolic equationsHölder regularityspace of continuous functionsunbounded coefficientsLipschitz domainsnon-linear semigroupsecond order quasi-linear elliptic equationsWentzell-Robin boundary conditions
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for second-order parabolic equations (35K15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quasilinear elliptic and parabolic Robin problems on Lipschitz domains
- Local existence, uniqueness and smooth dependence for nonsmooth quasilinear parabolic problems
- Regularity of solutions of linear second order elliptic and parabolic boundary value problems on Lipschitz domains
- Coercivity for elliptic operators and positivity of solutions on Lipschitz domains
- Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
- Maximal parabolic regularity for divergence operators including mixed boundary conditions
- Applications of differential calculus to quasilinear elliptic boundary value problems with non-smooth data
- Classical solutions of quasilinear parabolic systems on two dimensional domains
- The Robin and Wentzell-Robin Laplacians on Lipschitz domains
- The heat equation with nonlinear generalized Robin boundary conditions
- The conormal derivative problem for elliptic equations of variational type
- A construction of reflecting barrier Brownian motions for bounded domains
- The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions
- Elliptic partial differential equations of second order
- Local behavior of solutions of quasi-linear equations
- Linear and quasilinear elliptic equations
- On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
- Dirichlet regularity and degenerate diffusion
- A priori estimates for a class of quasi-linear elliptic equations
- Weakly Differentiable Functions
- Interpolation for Function Spaces Related to Mixed Boundary Value Problems
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- Semigroups generated by elliptic operators in non-divergence form on C-o(Ω)
- On harnack type inequalities and their application to quasilinear elliptic equations
- Nonlinear evolution equations in Banach spaces